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You throw a rock with an initial speed of 30 m/s and an angle of 50...

You throw a rock with an initial speed of 30 m/s and an angle of 50 degrees with respect to the vertical. The field you are on is however not horizontal but is inclined by an angle of 10 degrees with respect to and above the horizontal. Choose a coordinate system whose origin is located where the rock is thrown, and a rotated system such that the positive y axis is positive at an angle of 100 degrees measured counterclockwise from the horizontal, and such that the positive x axis is positive at an angle of 10 degrees measured counterclockwise from the horizontal.

a. Provide y(t) and x(t) using this coordinate system.

b. Calculate the range: the distance along the inclined plane, the ball lands.

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